The trispectrum of the cosmic microwave background on subdegree angular scales: An analysis of the BOOMERanG data

G. De Troia; P. A.R. Ade; J. J. Bock; J. R. Bond; A. Boscaleri; C. R. Contaldi; B. P. Crill; P. De Bernardis; P. G. Ferreira; M. Giacometti; E. Hivon; V. V. Hristov; M. Kunz; A. E. Lange; S. Masi; P. D. Mauskopf; T. Montroy; P. Natoli; C. B. Netterfield; E. Pascale; F. Piacentini; G. Polenta; G. Romeo; J. E. Ruhl

doi:10.1046/j.1365-8711.2003.06665.x

The trispectrum of the cosmic microwave background on subdegree angular scales: An analysis of the BOOMERanG data

G. De Troia, P. A.R. Ade, J. J. Bock, J. R. Bond, A. Boscaleri, C. R. Contaldi, B. P. Crill, P. De Bernardis, P. G. Ferreira, M. Giacometti, E. Hivon, V. V. Hristov, M. Kunz, A. E. Lange, S. Masi, P. D. Mauskopf, T. Montroy, P. Natoli, C. B. Netterfield, E. PascaleF. Piacentini, G. Polenta, G. Romeo, J. E. Ruhl

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38 Scopus citations

Abstract

The trispectrum of the cosmic microwave background can be used to assess the level of non-Gaussianity on cosmological scales. It probes the fourth-order moment, as a function of angular scale, of the probability distribution function of fluctuations and has been shown to be sensitive to primordial non-Gaussianity, secondary anisotropies (such as the Ostriker-Vishniac effect) and systematic effects (such as astrophysical foregrounds). In this paper we develop a formalism for estimating the trispectrum from high-resolution sky maps that incorporates the impact of finite sky coverage. This leads to a series of operations applied to the data set to minimize the effects of contamination due to the Gaussian component and correlations between estimates at different scales. To illustrate the effect of the estimation process, we apply our procedure to the BOOMERanG data set and show that it is consistent with Gaussianity. This work presents the first estimation of the cosmic microwave background trispectrum on subdegree scales.

Original language	English (US)
Pages (from-to)	284-292
Number of pages	9
Journal	Monthly Notices of the Royal Astronomical Society
Volume	343
Issue number	1
DOIs	https://doi.org/10.1046/j.1365-8711.2003.06665.x
State	Published - Jul 21 2003
Externally published	Yes

Keywords

Cosmic microwave background
Methods: statistical

ASJC Scopus subject areas

Astronomy and Astrophysics
Space and Planetary Science

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10.1046/j.1365-8711.2003.06665.x

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De Troia, G., Ade, P. A. R., Bock, J. J., Bond, J. R., Boscaleri, A., Contaldi, C. R., Crill, B. P., De Bernardis, P., Ferreira, P. G., Giacometti, M., Hivon, E., Hristov, V. V., Kunz, M., Lange, A. E., Masi, S., Mauskopf, P. D., Montroy, T., Natoli, P., Netterfield, C. B., ... Ruhl, J. E. (2003). The trispectrum of the cosmic microwave background on subdegree angular scales: An analysis of the BOOMERanG data. Monthly Notices of the Royal Astronomical Society, 343(1), 284-292. https://doi.org/10.1046/j.1365-8711.2003.06665.x

De Troia, G, Ade, PAR, Bock, JJ, Bond, JR, Boscaleri, A, Contaldi, CR, Crill, BP, De Bernardis, P, Ferreira, PG, Giacometti, M, Hivon, E, Hristov, VV, Kunz, M, Lange, AE, Masi, S, Mauskopf, PD, Montroy, T, Natoli, P, Netterfield, CB, Pascale, E, Piacentini, F, Polenta, G, Romeo, G & Ruhl, JE 2003, 'The trispectrum of the cosmic microwave background on subdegree angular scales: An analysis of the BOOMERanG data', Monthly Notices of the Royal Astronomical Society, vol. 343, no. 1, pp. 284-292. https://doi.org/10.1046/j.1365-8711.2003.06665.x

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abstract = "The trispectrum of the cosmic microwave background can be used to assess the level of non-Gaussianity on cosmological scales. It probes the fourth-order moment, as a function of angular scale, of the probability distribution function of fluctuations and has been shown to be sensitive to primordial non-Gaussianity, secondary anisotropies (such as the Ostriker-Vishniac effect) and systematic effects (such as astrophysical foregrounds). In this paper we develop a formalism for estimating the trispectrum from high-resolution sky maps that incorporates the impact of finite sky coverage. This leads to a series of operations applied to the data set to minimize the effects of contamination due to the Gaussian component and correlations between estimates at different scales. To illustrate the effect of the estimation process, we apply our procedure to the BOOMERanG data set and show that it is consistent with Gaussianity. This work presents the first estimation of the cosmic microwave background trispectrum on subdegree scales.",

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AU - De Troia, G.

AU - Ade, P. A.R.

AU - Bock, J. J.

AU - Bond, J. R.

AU - Boscaleri, A.

AU - Contaldi, C. R.

AU - Crill, B. P.

AU - De Bernardis, P.

AU - Ferreira, P. G.

AU - Giacometti, M.

AU - Hivon, E.

AU - Hristov, V. V.

AU - Kunz, M.

AU - Lange, A. E.

AU - Masi, S.

AU - Mauskopf, P. D.

AU - Montroy, T.

AU - Natoli, P.

AU - Netterfield, C. B.

AU - Pascale, E.

AU - Piacentini, F.

AU - Polenta, G.

AU - Romeo, G.

AU - Ruhl, J. E.

PY - 2003/7/21

Y1 - 2003/7/21

N2 - The trispectrum of the cosmic microwave background can be used to assess the level of non-Gaussianity on cosmological scales. It probes the fourth-order moment, as a function of angular scale, of the probability distribution function of fluctuations and has been shown to be sensitive to primordial non-Gaussianity, secondary anisotropies (such as the Ostriker-Vishniac effect) and systematic effects (such as astrophysical foregrounds). In this paper we develop a formalism for estimating the trispectrum from high-resolution sky maps that incorporates the impact of finite sky coverage. This leads to a series of operations applied to the data set to minimize the effects of contamination due to the Gaussian component and correlations between estimates at different scales. To illustrate the effect of the estimation process, we apply our procedure to the BOOMERanG data set and show that it is consistent with Gaussianity. This work presents the first estimation of the cosmic microwave background trispectrum on subdegree scales.

AB - The trispectrum of the cosmic microwave background can be used to assess the level of non-Gaussianity on cosmological scales. It probes the fourth-order moment, as a function of angular scale, of the probability distribution function of fluctuations and has been shown to be sensitive to primordial non-Gaussianity, secondary anisotropies (such as the Ostriker-Vishniac effect) and systematic effects (such as astrophysical foregrounds). In this paper we develop a formalism for estimating the trispectrum from high-resolution sky maps that incorporates the impact of finite sky coverage. This leads to a series of operations applied to the data set to minimize the effects of contamination due to the Gaussian component and correlations between estimates at different scales. To illustrate the effect of the estimation process, we apply our procedure to the BOOMERanG data set and show that it is consistent with Gaussianity. This work presents the first estimation of the cosmic microwave background trispectrum on subdegree scales.

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The trispectrum of the cosmic microwave background on subdegree angular scales: An analysis of the BOOMERanG data

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Keywords

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